为揭示摆线钢球行星传动的非线性动力学行为，建立包括外部激励、啮合副啮合状态及啮合刚度等非线性因素的纯扭转强非线性耦合动力学模型。建立能够描述啮合副所处状态的预紧非线性函数，根据静力学分析获得啮合点静态变形量，建立非线性动力学微分方程组，利用数值分析方法获得系统随压缩量、阻尼系数变化的分叉图，并绘制不同参数下的相图和庞加莱图，研究不同参数对系统分叉特性的影响规律。结果表明，轴向压缩量对系统稳定性影响较大；轴向压缩量和旋转阻尼系数增加，高速运转的系统最终稳定于短周期运动，低速运转的系统最终稳定于准周期运动；阻尼较小时系统在低速状态下的稳定性较高，阻尼较大时系统在高速状态下的稳定性较高。
Abstract
In order to reveal the nonlinear dynamic behavior of the cycloid ball planetary transmission, pure torsion strengthening nonlinear coupling dynamic model is established and external excitation and meshing pair meshing state and meshing stiffness of the nonlinear factors are included in the model. The nonlinear function of the preload is established to describe the state of the meshing pair. According to the static analysis, the static deformation of meshing point is obtained, and then set up the nonlinear dynamic differential equations, using MATLAB to obtain the system with pressure shrinking, damping coefficient of variation of the bifurcation diagram and draw different parameters of phase diagram and Poincare map.The effects of different parameters on the bifurcation characteristics of the system are studied.The results show that the axial compression has a great influence on the stability of the system.Increase of axial compression and rotational damping coefficient, the system at high speed operation is stable in the short period, the system at low speed operation is stable in the quasi periodic motion. The stability of small damping system is higher in low speed state, the stability of high damping system is high in the high speed state.
关键词
摆线钢球行星传动 /
非线性振动 /
分叉 /
混沌 /
准周期
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Key words
Cycloid ball planetary transmission /
Nonlinear vibration /
Bifurcation /
Chaos /
Quasi period;
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